Given numbers are 177,284,268,337

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 177,284,268,337 is 1135001172.

Find LCM of 177,284,268,337 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 177 x 71 x 67 x 337 = 1135001172

Therefore, the lowest common multiple of 177,284,268,337 is 1135001172.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

177 x 284 x 268 x 337 = 4540004688

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

177 : 1, 3, 59, 177

284 : 1, 2, 4, 71, 142, 284

268 : 1, 2, 4, 67, 134, 268

337 : 1, 337

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 177,284,268,337, is 1.

Now, the common factors can be found like this.

177:3x 59

284:2x 2x 71

268:2x 2x 67

337:337

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 4540004688/(1x4)

LCM = 4540004688/4

LCM = 1135001172

Thus, we can understand that the LCM of 177,284,268,337 is 1135001172.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 616, 935, 943, 610
• LCM of 667, 523, 277, 347
• LCM of 802, 762, 525, 268
• LCM of 751, 967, 317, 320
• LCM of 624, 933, 399, 783

1. What is the LCM of 177, 284, 268, 337?

Answer: LCM of 177, 284, 268, 337 is 1135001172.

2. How to calculate the LCM of 177, 284, 268, 337?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 177, 284, 268, 337.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.